Details

sample143.0ms

Algorithm

halfpoints

Results

simplify3.2s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize217.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
0.3b	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
0.2b	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.2b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--` `*-commutative` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-l` `associate-*l/`

Counts

4 → 8

Calls

4 calls:

Slowest

9.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
4.0ms	(+.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
3.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
3.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (.p16 (-.p16 (.p16 x.re x.re) (.p16 x.im x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (.p16 x.im x.re)) x.re))
0.0ms	(-.p16 (.p16 x.re x.re) (.p16 x.im x.im))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms	(.p16 (-.p16 (.p16 x.re x.re) (*.p16 x.im x.im)) x.im)

simplify1.5s

Counts: 12 → 12

prune245.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize161.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.re x.re) x.re))
0.2b	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)))
0.1b	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0b	(*.p16 (+.p16 x.re x.re) x.re)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`associate-+l+`
1×	`+-commutative` `associate-*l/` `p16-flip--`

Counts

4 → 11

Calls

4 calls:

Slowest

7.0ms	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.re x.re) x.re))
4.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
4.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)))
3.0ms	(*.p16 (+.p16 x.re x.re) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (.p16 (+.p16 x.re x.re) x.re))
0.0ms	(.p16 x.im (+.p16 (.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)) (*.p16 (+.p16 x.re x.re) x.re)))
0.0ms	(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0ms	(*.p16 (+.p16 x.re x.re) x.re)

simplify1.6s

Counts: 15 → 15

prune225.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize195.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.2b	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
0.2b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.1b	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `*-commutative`
1×	`associate-r` `associate-l/` `associate-r/` `p16-flip--`

Counts

4 → 6

Calls

4 calls:

Slowest

9.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
6.0ms	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
6.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
4.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im)) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.0ms	(.p16 (+.p16 x.re x.im) (.p16 (-.p16 x.re x.im) x.im))
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

simplify1.2s

Counts: 10 → 10

prune153.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize201.0ms

Local error

Found 4 expressions with local error:

0.4b	(+.p16 (.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.2b	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im)
0.2b	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.1b	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `*-commutative`
1×	`associate-l` `associate-l/` `associate-r/` `p16-flip--`

Counts

4 → 6

Calls

4 calls:

Slowest

6.0ms	(+.p16 (.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
4.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im)
4.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))
3.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im) (.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.0ms	(.p16 (+.p16 (.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms	(.p16 (.p16 (+.p16 x.re x.im) (-.p16 x.re x.im)) x.im)
0.0ms	(+.p16 (.p16 x.re x.im) (.p16 x.im x.re))

simplify665.0ms

Counts: 10 → 10

prune118.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

-∞% (-63.6b remaining)

Error of 0.4b against oracle of 64.0b and baseline of 64.0b

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm

halfpoints

Results